Spherical 3-manifolds bounding rational homology balls

Dong Heon Choe; Kyungbae Park

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arXiv · 1803.08749

Spherical 3-manifolds bounding rational homology balls

Dong Heon Choe·Kyungbae Park

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Abstract

We give a complete classification of the spherical 3-manifolds that bound smooth rational homology 4-balls. Furthermore, we determine the order of spherical 3-manifolds in the rational homology cobordism group of rational homology 3-spheres. To this end, we use constraints for 3-manifolds to bound rational homology balls induced from Donaldson's diagonalization theorem and Heegaard Floer correction terms.

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Dong Heon Choe, Kyungbae Park. 2018-03-23. Spherical 3-manifolds bounding rational homology balls. https://arxiv.org/abs/1803.08749

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